If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -1w2 + 4w + 15 = 0 Reorder the terms: 15 + 4w + -1w2 = 0 Solving 15 + 4w + -1w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -15 + -4w + w2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + -4w + 15 + w2 = 0 + 15 Reorder the terms: -15 + 15 + -4w + w2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4w + w2 = 0 + 15 -4w + w2 = 0 + 15 Combine like terms: 0 + 15 = 15 -4w + w2 = 15 The w term is -4w. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4w + 4 + w2 = 15 + 4 Reorder the terms: 4 + -4w + w2 = 15 + 4 Combine like terms: 15 + 4 = 19 4 + -4w + w2 = 19 Factor a perfect square on the left side: (w + -2)(w + -2) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (w + -2) equal to 4.358898944 and -4.358898944.Subproblem 1
w + -2 = 4.358898944 Simplifying w + -2 = 4.358898944 Reorder the terms: -2 + w = 4.358898944 Solving -2 + w = 4.358898944 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w = 4.358898944 + 2 Combine like terms: -2 + 2 = 0 0 + w = 4.358898944 + 2 w = 4.358898944 + 2 Combine like terms: 4.358898944 + 2 = 6.358898944 w = 6.358898944 Simplifying w = 6.358898944Subproblem 2
w + -2 = -4.358898944 Simplifying w + -2 = -4.358898944 Reorder the terms: -2 + w = -4.358898944 Solving -2 + w = -4.358898944 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w = -4.358898944 + 2 Combine like terms: -2 + 2 = 0 0 + w = -4.358898944 + 2 w = -4.358898944 + 2 Combine like terms: -4.358898944 + 2 = -2.358898944 w = -2.358898944 Simplifying w = -2.358898944Solution
The solution to the problem is based on the solutions from the subproblems. w = {6.358898944, -2.358898944}
| 2x+2x+10+3x-20=360 | | -81+5x=-11x+159 | | 6x+6+5=13-2+6x | | t-0.75t=f | | 6p^2-23p+10= | | -w^2+4w+15= | | 6y-3x^2=0 | | 16x^2-24x-9=0 | | 4x+2y-5w+3=22 | | (3x-9)=(2.5x+15) | | -62+2x=-9+92 | | .08y-.0=.02y | | x+3x(7x+2)=46 | | a+(a+3)=(a+4)-(a+1) | | 10x+1=10x+2 | | 5x-12-4x=-9 | | 14b=(b+12) | | 46=x+3x(2+7x) | | .5x-.3x=8 | | 16x^2-9/4x+3=-6 | | 9x^2-58x+24= | | (3x+5)+78+61=180 | | a/-2+10=-2 | | 6+9k=12+-8k | | 5x^2-39x-8/64-x^2 | | 140+25+x=180 | | .03y-1.2=8.7 | | 4sin^2x=4cosx+1 | | 70+70+x=180 | | 4x^2-20xy+25y^2-4x^2+20xy+25y^2= | | -6(21-5v)=54 | | 70+70+=180 |